6 papers
New conjectures on multiplicities of tensor eigenvalues
Stefano Canino, Cosimo Flavi, Francesco Galuppi +1
We work on two conjectures on tensor eigenvalue multiplicities. By using the language of algebraic geometry we give stronger, more refined versions of the conjectures and we prove…
A new bound on the rank of tensor product of W-states
S. Canino, A. Casarotti, P. Santarsiero
A W-state is an order d symmetric tensor of the form W_d=x^{d-1}y. We prove that the partially symmetric rank of W_{d_1}\otimes \cdots \otimes W_{d_k} is at most 2^{k-1}(d_1+\cdots…
Detecting Direct Sums of Tensors and Their Limits
S. Canino, C. Flavi, J. Jelisiejew
We generalize Mammana's classification of limits of direct sums to more than two factors. We also extend it from polynomials to arbitrary Segre-Veronese format, generalising and un…
Isotropic Rank of Harmonic Polynomials
S. Canino, C. Flavi
Any homogeneous harmonic polynomial can be decomposed as a sum of powers of isotropic linear forms, that is, linear forms whose coefficients are the coordinates of isotropic points…
Postulation of schemes of length at most 4 on surfaces
E. Ballico, S. Canino
In this paper we address the postulation problem of zero-dimensional schemes on a surface of length at most 4. We prove some general results and then we focus on the case of P2, P1…
Postulation for 2-superfat points in the plane
Stefano Canino, Maria Virginia Catalisano, Alessandro Gimigliano +2
We study the postulation of 0-dimensional schemes given by unions of 2-superfat points in general position in the plane, i.e., the union of local schemes defined by the intersectio…